You don't even now what is KVL!
KVL is a special case of Faraday's law when you don't have a time-varying magnetic field in the surface enclosed by the path of the circuit.
Your ignorance is laughable!
And, Jesse, when I say "listen to the guys in a garage" I am not comparing them to me, but to the university professors who wrote books and papers where this problem was carefully analyzed.
Purcell, Morin, Roche, Ramo, Whinnery, VanDuzer, Romer, Rosser, Zahn, Haus, Melcher, Nicholson, Brandao Faria, ...
have you noticed that Jesse is repeatedly posting the same image of a circuit with a transformer, two outputs on a circuit with resistors and a lot of voltmeters? Suppose one turn around the core gives you an emf of 1V.
Can you place the values of your "path independent voltage" inside all those voltmeters?
Lumped circuits are obtained by connecting lumped elements. Typical
lumped elements are resistors, capacitors, inductors, and transformers.
We have encountered them in the laboratory, and we can see them in our
radio sets. The key property associated with lumped elements is their
small size (compared to the wavelength corresponding to their normal
frequency of operation.) From the more general electromagnetic field point
of view, lumped elements are point singularities; that is, they have negligible
physical dimensions. In this way they are similar to a particle.
Lumped elements may have two terminals, as in a resistor, or more than
two terminals, as in a transformer or transistor. For two-terminal
lumped elements, it can be shown that the general laws governing the
electromagnetic field, together with the restriction on physical size indicated
above, imply that at all times the current entering one terminal is
equal to the current leaving the other terminal, and that the voltage difference
between the two terminals can be unambiguously defined by physical
measurements. Thus, for two-terminal lumped elements, the current
through the element and the voltage across it are well-defined quantities. For
lumped elements with more than two terminals, the current entering any
terminal and the voltage across any pair of terminals are well defined at all times.
For the remainder of this book, any interconnection of the lumped
elements such that the dimensions of the circuit are small compared with the
wavelength associated with the highest frequency of interest will be called
a lumped circuit.
As long as this restriction on the size of the circuit holds, Kirchhoff's
current and voltage laws (to be discussed in Secs. 3 and 4) are valid. This
restriction is a consequence of the fact that Kirchhoff's laws are approximations
of Maxwell's celebrated equations, which are the general laws
of the electromagnetic field. The approximation is analogous to the fact
that Newton's laws of classical mechanics are approximations to the laws
of relativistic mechanics. Even though they are approximations, the laws
of Newton and Kirchhoff can be applied to a large number of practical
(Pretty sure Jesse doesn't know either, because I've asked and he refused to answer)

If the induced EMF is not in the path of the circuit, yes, you can include it in KVL. If not, KVL fails.

QuoteLet the components of the electromotive intensity be X, Y, Z.
The electromotive intensity at any point is the resultant force on a unit of positive electricity placed at that point. It may arise (1) from electrostatic action, in which case if V is the potential,
\$X=-\frac{dV}{dx},Y=-\frac{dV}{dy},Z=-\frac{dV}{dz}; (1)\$
or (2) from electromagnetic induction, the laws of which we shall afterwards examine; or (3) from thermoelectric or electrochemical action at the point itself, tending to produce a current in a given direction.
We shall in general suppose that X, Y, Z represent the components of the actual electromotive intensity at the point, whatever be the origin of the force, but we shall occasionally examine the result of supposing it entirely due to variation of potential.
Apart from the fact that Maxwell is simply enumerating the EMF available at the time: electrochemical piles/electrostatic machines, thermopiles and em induction (remember, if you consider localized sources you can apply what today we call "extended KVL") - what if it actually contradicted Maxwell?
Maxwell believed in the existence of the luminiferous ether. He was wrong.
What we today call "Maxwell's equations" is the result of the work of Heaviside, using the notation expressed in the treatise would be maddening. Expliciting all gradients, curls, divergences...
A lot of thing has changed since 1865.
But one thing that has not changed since the time of Maxwell is that KVL explicitly includes electromagnetic induction EMFs which are not to be treated differently from any other EMFs, "whatever be the origin of the force"!
But no, Lewin defines reality and we're supposed to ignore the others.
I think what you mean to say is that IF there is UNDOCUMENTED EMF across any part of the loop, then KVL fails.
I'm pretty sure Team Lewin doesn't even know what they are arguing for, much less what they are arguing about.
But what baffles me is Team Lewin's refusal to draw a definitive line in reasoning and say "Here's where you're wrong. (Insert reason)" ("You" being Team KVL.)
The only thing they really seem certain of is that Lewin cannot be wrong. Maybe former students? Maybe fellow Dutchmen? I've read that the Dutch are both very loyal to their own as well as very tenacious in negotiations with others.
Team Lewin also seems to ignore the fact that some PhD Physics Professors also disagree with them -- it doesn't take a genius to see that not all PhD Physics Professors agree on the topic so there must be room for discussion..
But no, Lewin defines reality and we're supposed to ignore the others.
It is waste to argue with true believers because they simply ignore anything that does not support their beliefs.
have you noticed that Jesse is repeatedly posting the same image of a circuit with a transformer, two outputs on a circuit with resistors and a lot of voltmeters? Suppose one turn around the core gives you an emf of 1V.
Can you place the values of your "path independent voltage" inside all those voltmeters?
What does that even mean?
And according to Team Lewin's fully endorsed top of the line textbook, transformer windings are completely acceptable:Quote from: Desoer-Kuh
Lumped circuits are obtained by connecting lumped elements.
Quote(Pretty sure Jesse doesn't know either, because I've asked and he refused to answer)
If I refused to answer any of your questions it was for one of two reasons: 1: It was incoherent or unambiguous words which did not actually form an unambiguous question.
Or 2: At some point I realized you were just throwing muddy questions at the wall in hopes one would stick while refusing to answer a single one of mine so I began question bargaining which meant I had to refuse to answer questions just to get you to answer a couple of mine. Doesn't mean I didn't know the answers though.


And you still have not answered MY question as I asked it.
Question: In the following diagram, in a real life physical lab test performed with real (time synchronized) volt meters with a real transformer and real resistors CONNECTED AS SHOWN, will the readings of all the volt meters sum to zero, within the accuracy and resolution limitations of the volt meters? YES or NO.
(Or if you believe SOMETIMES is the answer, then answer SOMETIMES and explain one scenario for a YES condition and one scenario for a NO condition WITH THE VOLT METERS AND ALL COMPONENTS CONNECTED AS SHOWN - Running additional conductors through the transformer core is not allowed - nor is removing existing conductors from through the transformer core!)
But what baffles me is Team Lewin's refusal to draw a definitive line in reasoning and say "Here's where you're wrong. (Insert reason)" ("You" being Team KVL.)
The only thing they really seem certain of is that Lewin cannot be wrong. Maybe former students? Maybe fellow Dutchmen? I've read that the Dutch are both very loyal to their own as well as very tenacious in negotiations with others.
At the very least I'd have expected Team Lewin to say "Yes, the volt meters in your diagram will sum to zero, and KVL does appear to work, but due to a certain technicality of a certain definition, we say KVL isn't holding.."
But we can't even get that much from them, which means they don't even understand the topic much less what they are arguing for.
Team Lewin also seems to ignore the fact that some PhD Physics Professors also disagree with them -- it doesn't take a genius to see that not all PhD Physics Professors agree on the topic so there must be room for discussion.. But no, Lewin defines reality and we're supposed to ignore the others.
Lewin is just one of many, many, many other professors who know how to correctly apply classical electrodynamics. What we (well, I at least) call the Romer-Lewin ring is mentioned in a 1969 teaser by Moorcroft, followed by a discussion published the year after
Lewin is just one of many, many, many other professors who know how to correctly apply classical electrodynamics. What we (well, I at least) call the Romer-Lewin ring is mentioned in a 1969 teaser by Moorcroft, followed by a discussion published the year afterSredni (the king of cherry picking!), have you calculated the voltage between nodes A and D, VAD yet? Have you figured what is the difference between the voltage between two nodes and the voltage measured by a 'voltmeter'?
Lewin, and team Lewin by that matter, are so wrong that they even disagree with what Maxwell explicitly says.
Let start with definition of KVL as stated by Maxwell in "A Treatise on Electricity & Magnetism" from 1873:
[Page 406 article 282b]
The theory of conjugate conductors has been investigated by Kirchhoff, who has stated the conditions of a linear system in the following manner, in which the consideration of the potential is avoided.
(1) (Condition of 'continuity.') At any point of the system the sum of all the currents which flow towards that point is zero.
(2) In any complete circuit formed by the conductors the sum of the electromotive forces taken round the circuit
Yes I did, and for several paths.
The fact that you either did not understand that, or just simply revert back to factory defaults and keep asking the same questions again and again because you don't like the answer is irrelevant.
Maxwell believed in the luminiferous ether.
Do you believe in the luminiferouts ether?
(Or should I ask "do you know what the luminiferous ether is"?)
I am not a native English speaker. Could you please enlighten me about what "taken round the circuit" means in English?
Yes I did, and for several paths.
The fact that you either did not understand that, or just simply revert back to factory defaults and keep asking the same questions again and again because you don't like the answer is irrelevant.
When you calculate the voltage VAD, there is only one path, the path of the ring circuit, which is neither changing nor moving!
Maxwell believed in the luminiferous ether.
Do you believe in the luminiferouts ether?
(Or should I ask "do you know what the luminiferous ether is"?)
And here you are! Denigrating Maxwell as predicted.
Also, I am pretty sure Maxwell contemplated the possibility of a "luminiferous ether", but he was not sold on it unless solid evidence of it was provided. (I think I read that somewhere in one of his writings...)
I am not a native English speaker. Could you please enlighten me about what "taken round the circuit" means in English?You need to imagine as if Sean Connery is reading the writings of Maxwell! It may make more sense to you then!
Yes I did, and for several paths.
The fact that you either did not understand that, or just simply revert back to factory defaults and keep asking the same questions again and again because you don't like the answer is irrelevant.
When you calculate the voltage VAD, there is only one path, the path of the ring circuit, which is neither changing nor moving!
Of course you mean the path on the right (A ---> R1 ---> D)?
Or the one on the left (A ---> R2 ---> D)?
Or the one along an imaginary line that splits the circular circuit in half? And if the circuit is not symmetric?
Now paths do not exists because the circuit is stationary
Every day something new.
Maxwell believed in the luminiferous ether.
Do you believe in the luminiferouts ether?
(Or should I ask "do you know what the luminiferous ether is"?)
And here you are! Denigrating Maxwell as predicted.
Not denigrating. Just stating a fact.
Newton believed time and space were absolutes. Is this denigrating Newton?
I am not a native English speaker. Could you please enlighten me about what "taken round the circuit" means in English?QuoteYou need to imagine as if Sean Connery is reading the writings of Maxwell! It may make more sense to you then!
Yeah, like Jesse, you can't answer and just try to deflect.
Maxwell believed in the luminiferous ether.
Do you believe in the luminiferouts ether?
(Or should I ask "do you know what the luminiferous ether is"?)And here you are! Denigrating Maxwell as predicted.Not denigrating. Just stating a fact.
Newton believed time and space were absolutes. Is this denigrating Newton?Really? So why is relevant to this discussion whether or not Maxwell believed in the "luminiferous ether" or not? You are guilty here of not just one, but two fallacies: denigration and deflection.
But wait... this is what Dr.Lewin effectively does in his video "Kirchhoff's Loop Rule Is For The Birds".
You are the one who believe Maxwell is infallible and his Treatise is gospel. I simply pointed out that the Treatise reflects the time it was written. A time where Maxwell's equations as we know them were yet to be penned. A time where people, including Maxwell, believed in the luminiferous ether. You have quoted a passage of the Treatise where Maxwell is illustrating the sources of emf as known at the time, so what? He states explicitly:
"In any complete circuit formed by the conductors the sum of the electromotive forces taken round the circuit..."
And I am wondering: if the emf is a scalar value that results from computing the path integral of that one closed loop (as that little circle implies), why is Maxwell using the plural? You said it yourself: there is only one loop [note], so there must be only one value for the integral computed along that one loop.
I tell you why he is using the plural.
Because in that sentence he was considering the lumped emfs encountered by going around the circuit. That is what KVL was about at the time (and still is now, since its generalization outside of garages is known as Faraday's law).
note I also wonder... what if the circuit has more than one loop linking dB/dt... What single one loop would you choose to compute the one and only value of Vad?
3. you don't know how to answer.
I see that you have banned ano]ther user on your YT channel.
https://i.postimg.cc/KjvfpC5f/screenshot.png
I wonder why you do that.
They do not even understand what Belcher and McDonald say, they only get a few sentences here and there.
It takes several years of painstaking study to master a minimal understanding of it.
You can clearly see that they do not have the appropriate background to sustain an argument. The idea of a non-conservative field, which is key to understanding the path dependency of voltage, is foreign to them. Their understanding of the vectorial nature of the electric and magnetic fields, if existent, is precarious, to say the least.
As Dr.Lewin ignores emf literally in half of his circuit stating that voltage on two wires A1-A2 and D1-D2 is 0V,
let's remove both from circuit completely. What we have left are two resistors. Let's take 10 Ohm wire and make full turn out of it, connect tiny 100 Ohms resistor as load. What we have in result - transformer with lossy secondary and load. Voltages on both equal obviously.
It would be rather stupid to measure current through 100 Ohms load, then knowing internal resistance (10 Ohms) of transformer secondary, apply ohms law to calculate voltageBut wait... this is what Dr.Lewin effectively does in his video "Kirchhoff's Loop Rule Is For The Birds".

Faraday's Law Example 4 (Electromagnetic Induction)
This is the fourth of four examples of the application of Faraday's Law. A current is ramped in a solenoid to produce circles of electric field intensity around the solenoid. The solenoid is surrounded by a conducting ring where the left half of the ring has a higher conductivity than the right half of the ring. What is observed is charge buildup at the boundaries between the two materials.
You are the one who believe Maxwell is infallible and his Treatise is gospel. I simply pointed out that the Treatise reflects the time it was written. A time where Maxwell's equations as we know them were yet to be penned. A time where people, including Maxwell, believed in the luminiferous ether. You have quoted a passage of the Treatise where Maxwell is illustrating the sources of emf as known at the time, so what? He states explicitly:
Interesting. Maxwell is fallible, but Lewin, whom struggles to solve the simplest of circuits, is infallible them!
Also, according to Maxwell (and he says it explicitly) Faraday's law is NOT a generalization of KVL. "Electromagnetic induction, the laws of which we shall afterwards examine" is just one more EMF that must be added to other EMFs when using KVL, "whatever be the origin of the force".
So, according to your logic in Lewin's ring, the wire on the top has half the induced EMF and the wire at the bottom has half the induced EMF. So, can you now can compute the voltage VAD?
note I also wonder... what if the circuit has more than one loop linking dB/dt... What single one loop would you choose to compute the one and only value of Vad?
Then you use KVL and KCL to the complete and correct circuit to compute...
Wanna see another professor doing the same as Belcher, and Lewin? Micheal Melloch of Purdue University - the same Micheal Melloch whose videos Jesse Gordon has linked in the comments of his videos on Lewin's ring. Too bad he is doing what Lewin (and Belcher!) is doing:QuoteFaraday's Law Example 4 (Electromagnetic Induction)
This is the fourth of four examples of the application of Faraday's Law. A current is ramped in a solenoid to produce circles of electric field intensity around the solenoid. The solenoid is surrounded by a conducting ring where the left half of the ring has a higher conductivity than the right half of the ring. What is observed is charge buildup at the boundaries between the two materials.
The charge buildup at the boundaries between the materials is what you KVLers are unable to see.
It's like glass for birds, or storks.
Wanna see another professor doing the same as Belcher, and Lewin? Micheal Melloch of Purdue University - the same Micheal Melloch whose videos Jesse Gordon has linked in the comments of his videos on Lewin's ring. Too bad he is doing what Lewin (and Belcher!) is doing:QuoteFaraday's Law Example 4 (Electromagnetic Induction)
This is the fourth of four examples of the application of Faraday's Law. A current is ramped in a solenoid to produce circles of electric field intensity around the solenoid. The solenoid is surrounded by a conducting ring where the left half of the ring has a higher conductivity than the right half of the ring. What is observed is charge buildup at the boundaries between the two materials.
The charge buildup at the boundaries between the materials is what you KVLers are unable to see.
It's like glass for birds, or storks.
Excellent, I was waiting for something like this. Now, here is a question for you: what would happen if you replace the resistors with capacitors. Say, instead of the 100 ohm resistor place a 100nF capacitor, and instead of the 900 ohm resistor place a 10nF capacitor. What would be the voltage between nodes A and D, VAD at steady state? Spoiler alert: I did that experiment a few weeks ago and it looks very, very bad for team Lewin!
The pretty much cancel each other in the conductor leaving an almost zero net electric field inside.
QuoteThen you use KVL and KCL to the complete and correct circuit to compute...
Sure, you use KVL to prove KVL.